Results 71 to 80 of about 3,969 (116)

Conjugacy Problem for Subgroups with Applications to Artin Groups and Braid Type Group

open access: yesCommunications in Algebra, 2006
Let $G$ be a group endowed with a solution to the conjugacy problem and with an algorithm which computes the centralizer in $G$ of any element of $G$. Let $H$ be a subgroup of $G$. We give some conditions on $H$, under which we provide a solution to the conjugacy problem in $H$. We apply our results to some Artin groups and braid type groups.
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An Artin relation of length n in the braid group

open access: yesDiscrete Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Examples of centralizers in the Artin braid groups

open access: yes, 2003
The goal of this paper is to construct examples of centralizers in the Artin braid groups requiring the number of generators quadratic in the number of strings. These examples disprove a recent conjecture of N. Franco and J. Gonzalez-Meneses.
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New developments in the theory of Artin's braid groups

open access: yesTopology and its Applications, 2003
The author reviews some recent developments in the theory of the Artin braid groups. In particular, he sketches the three different proofs of Dehornoy's theorem, which states that the Artin braid groups are right-orderable [see \textit{P. Dehornoy}, Trans. Am. Math. Soc. 345, No. 1, 115-150 (1994; Zbl 0837.20048)].
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